A) 0.999
B) 0
C) 0.888
D) 0.111
Correct Answer: B
Solution :
If \[a+b+c=0\] \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}=3abc\] Hence, \[0.111+0.222+\,\,(-0.333)=0\] \[\therefore \] \[{{(0.111)}^{3}}+{{(0.222)}^{3}}+{{(-0.333)}^{3}}\] \[=-\,\,3\times 0.111\times 0.222\times 0.333\] \[=-\,\,{{(0.333)}^{2}}\times 0.222\] \[\therefore \] Given expression \[={{[-\,\,{{(0.333)}^{2}}\times 0.222+{{(0.333)}^{2}}\times 0.222]}^{3}}=0\]
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